Quasi-model-based control of type 1 diabetes mellitus

Glucose-insulin models appeared in the literature are varying in complexity. hence,their use in control theory is not trivial. the paper presents an optimal controller design framework to investigate the type 1 diabetes from control theory point of view. starting from a recently published glucose-insulin model a quasi model with favorable control properties is developed minimizing the physiological states to be taken into account. the purpose of the quasi model is not to model the glucose-glucagon-insulin interaction precisely,but only to grasp the characteristic behavior such that the designed controller can successfully regulate the unbalanced system. different optimal control strategies (pole-placement,lq,minimax control) are designed on the quasi model,and the obtained controllers' applicability is investigated on two more sophisticated type 1 diabetic models using two absorption scenarios. the developed framework could help researchers engaging the control problem of diabetes. © 2011 andrás györgyet al.